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Title: The third cohomology group classifies double central extensions
Authors: Rodelo, Diana 
Linden, Tim Van der 
Keywords: Cohomology; Categorical Galois theory; Semi-abelian category; Higher central extension; Baer sum
Issue Date: 2008
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 08-55 (2008)
Abstract: We characterise the double central extensions in a semi-abelian category in terms of commutator conditions. We prove that the third cohomology group H3(Z;A) of an object Z with coe cients in an abelian object A classi es the double central extensions of Z by A.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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